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On cluster properties of classical ferromagnets in an external magnetic field. (English) Zbl 1371.82018

The authors study correlation functions of ferromagnetic spin systems satisfying a Lee-Yang property and show that, for classical systems in a non-vanishing uniform external magnetic field \(h,\) the connected correlation functions decay exponentially in the distances between the spins, i.e., the inverse correlation length \(m(h)\) is strictly positive.

MSC:

82B20 Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics
82D45 Statistical mechanics of ferroelectrics
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References:

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